Abstract
Numerical methods are presented for simulating stochastic-in-time current pulses for an electrodiffusion model of the biological channel, with a fixed applied voltage across the channel. The electrodiffusion model consists of the parabolic advection-diffusion equation coupled either to Gauss' law or Poisson's equation, depending on the choice of boundary conditions. The TRBDF2 method is employed for the advection-diffusion equation. The rectangular wave shape of previously simulated traveling wave current pulses is preserved by the full set of partial differential equations for electrodiffusion.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 291-299 |
| Number of pages | 9 |
| Journal | Journal of Theoretical Biology |
| Volume | 219 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2002 |
Funding
*Corresponding author. Tel.: +1-480-965-0226; fax: +1-480-965-0461. E-mail addresses: [email protected] (C. L. Gardner), [email protected] (J. W. Jerome), [email protected] (R. S. Eisenberg). z Research supported in part by the National Science Foundation under Grant DMS-9706792 and by DARPA under Grant N65236-98-1-5409. 8 Research supported in part by the National Science Foundation under Grant DMS-9704458. ** Research supported in part by DARPA under Grant N65236-98-1-5409.
ASJC Scopus subject areas
- Statistics and Probability
- Modeling and Simulation
- General Biochemistry, Genetics and Molecular Biology
- General Immunology and Microbiology
- General Agricultural and Biological Sciences
- Applied Mathematics